Title
Local resilience of spanning subgraphs in sparse random graphs
Abstract
For each real γ>0 and integers Δ≥2 and k≥1, we prove that there exist constants β>0 and C>0 such that for all p≥C(log⁡n/n)1/Δ the random graph G(n,p) asymptotically almost surely contains – even after an adversary deletes an arbitrary (1/k−γ)-fraction of the edges at every vertex – a copy of every n-vertex graph with maximum degree at most Δ, bandwidth at most βn and at least Cmax⁡{p−2,p−1log⁡n} vertices not in triangles.
Year
DOI
Venue
2015
10.1016/j.endm.2015.06.071
Electronic Notes in Discrete Mathematics
Keywords
Field
DocType
extremal graph theory,random graphs,sparse regularity,resilience
Discrete mathematics,Random regular graph,Combinatorics,Random graph,Graph labeling,Cycle graph,Degree (graph theory),Symmetric graph,Mathematics,Path graph,Complement graph
Journal
Volume
ISSN
Citations 
49
1571-0653
1
PageRank 
References 
Authors
0.36
8
4
Name
Order
Citations
PageRank
Peter Allen192.91
Julia Böttcher29317.35
Julia Ehrenmüller372.67
Anusch Taraz416837.71